Cascade synthesis of two-variable lossless two-port networks with lumped elements and transmission lines: a semi-analytic procedure

Abstract

Two-variable characterization of cascades composed of lossless two-port networks with lumped elements and transmission lines is considered. The problems associated with the construction of scattering functions in two variables are discussed and for cascade synthesis of two-variable mixed element networks, a semi-analytic procedure utilizing the topologic restrictions is proposed. Some particular mixed lumped-distributed structures for which the proposed procedure ends up with explicit formulas are addressed and the application of the results in real frequency broadband matching is indicated.